GCF of 3756/999, 1560/7714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3756/999, 1560/7714 i.e 12/7706286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3756/999, 1560/7714.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3756/999,1560/7714?
Given fractions are 3756/999,1560/7714
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3756/999,1560/7714, numerators are 3756,1560
Denominators are 999,7714
The GCF of 3756,1560 is 12 .
LCM of 999,7714 is 7706286.
The greatest common factor of 3756/999,1560/7714 = [GCF of 3756,1560]/[LCM of 999,7714]= 12/7706286
Therefore, the GCF of 3756/999,1560/7714 is 12/7706286.
To find the highest common factor of 3756,1560, we have to find the factors of both numbers and list the highest common factor.
The factors of 3756 are 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
The HCF of 3756,1560 is 12.
Lets's calculate GCF of 3756,1560
| 2 | 3756, 1560 |
| 2 | 1878, 780 |
| 3 | 939, 390 |
| 313, 130 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3756,1560 By Matching Biggest Common Factor Method
Now, list down the factors of 3756
:1,2,3,4,6,12,313,626,939,1252,1878,3756
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
Greatest Common Factor
We found the factors 3756,1560 . The biggest common factor number is the GCF number.
So the greatest common factor 3756,1560 is 12.
Lets's calculate LCM of 999,7714
Given numbers has no common factors except 1. So, there LCM is their product i.e 7706286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/7706286
Therefore, the GCF of Fractions 3756/999,1560/7714 is 12/7706286
Least Common Multiple of 999,7714 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 999,7714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,7714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,7714) x common factors =1 x 1 = 1
LCM(999,7714) = ( 999 × 7714 ) / 1
LCM(999,7714) = 7706286 / 1
LCM(999,7714) = 7706286
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FAQs on GCF of Fractions of 3756/999, 1560/7714
1. What is the HCF of 3756,1560?
The HCF of 3756,1560 is 12
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3756/999, 1560/7714?
Answer: GCF of Numerators as per given numbers 3756/999, 1560/7714 is
GCF of Numerators i.e. for 3756,1560 is 12
LCM of denominators i.e. for 999,7714 is 7706286.
Thus, GCF of Fractions is 12/7706286.Finally, GCF of Fractions for 3756/999, 1560/7714 is 12/7706286.